%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ANA023-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:02:15 PM UTC 2026
% Result : Unsatisfiable 77.92s 10.36s
% Output : CNFRefutation 54.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 32 ( 14 unt; 0 def)
% Number of atoms : 62 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 63 ( 33 ~; 30 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 38 ( 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2467,axiom,
! [T] :
( class_OrderedGroup_Opordered__ab__group__add(T)
| ~ class_Ring__and__Field_Oordered__idom(T) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2468,axiom,
! [T] :
( class_Ring__and__Field_Oordered__semidom(T)
| ~ class_Ring__and__Field_Oordered__idom(T) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2544,axiom,
! [T] :
( class_Orderings_Oorder(T)
| ~ class_Ring__and__Field_Oordered__semidom(T) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2796,axiom,
! [T_a,V_a,V_c,V_b] :
( c_lessequals(c_plus(V_a,V_b,T_a),V_c,T_a)
| ~ c_lessequals(V_a,c_minus(V_c,V_b,T_a),T_a)
| ~ class_OrderedGroup_Opordered__ab__group__add(T_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2797,axiom,
! [T_a,V_a,V_b,V_c] :
( c_lessequals(V_a,c_minus(V_c,V_b,T_a),T_a)
| ~ c_lessequals(c_plus(V_a,V_b,T_a),V_c,T_a)
| ~ class_OrderedGroup_Opordered__ab__group__add(T_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2803,axiom,
! [T_a,V_y,V_z,V_x] :
( c_lessequals(V_x,V_z,T_a)
| ~ c_lessequals(V_x,V_y,T_a)
| ~ c_lessequals(V_y,V_z,T_a)
| ~ class_Orderings_Oorder(T_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2806,negated_conjecture,
c_lessequals(c_0,c_minus(v_k(v_x),v_g(v_x),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2807,negated_conjecture,
c_lessequals(v_k(v_x),v_f(v_x),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2808,negated_conjecture,
~ c_lessequals(c_0,c_minus(v_f(v_x),v_g(v_x),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2809,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5928,plain,
! [X0] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_OrderedGroup_Opordered__ab__group__add(X0) ),
inference(cnf_transformation,[status(thm)],[f2467]) ).
fof(f5929,plain,
! [X0] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_Ring__and__Field_Oordered__semidom(X0) ),
inference(cnf_transformation,[status(thm)],[f2468]) ).
fof(f6005,plain,
! [X0] :
( ~ class_Ring__and__Field_Oordered__semidom(X0)
| class_Orderings_Oorder(X0) ),
inference(cnf_transformation,[status(thm)],[f2544]) ).
fof(f6266,plain,
! [X0,X1,X2,X3] :
( c_lessequals(c_plus(X0,X2,X3),X1,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| ~ c_lessequals(X0,c_minus(X1,X2,X3),X3) ),
inference(cnf_transformation,[status(thm)],[f2796]) ).
fof(f6267,plain,
! [X0,X1,X2,X3] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X2)
| c_lessequals(X0,c_minus(X3,X1,X2),X2)
| ~ c_lessequals(c_plus(X0,X1,X2),X3,X2) ),
inference(cnf_transformation,[status(thm)],[f2797]) ).
fof(f6276,plain,
! [T_a,V_z,V_x] :
( c_lessequals(V_x,V_z,T_a)
| ! [V_y] :
( ~ c_lessequals(V_x,V_y,T_a)
| ~ c_lessequals(V_y,V_z,T_a)
| ~ class_Orderings_Oorder(T_a) ) ),
inference(miniscoping,[status(thm)],[f2803]) ).
fof(f6277,plain,
! [X0,X1,X2,X3] :
( ~ class_Orderings_Oorder(X2)
| ~ c_lessequals(X3,X0,X2)
| c_lessequals(X3,X1,X2)
| ~ c_lessequals(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f6276]) ).
fof(f6280,plain,
c_lessequals(c_0,c_minus(v_k(v_x),v_g(v_x),t_b),t_b),
inference(cnf_transformation,[status(thm)],[f2806]) ).
fof(f6281,plain,
c_lessequals(v_k(v_x),v_f(v_x),t_b),
inference(cnf_transformation,[status(thm)],[f2807]) ).
fof(f6282,plain,
~ c_lessequals(c_0,c_minus(v_f(v_x),v_g(v_x),t_b),t_b),
inference(cnf_transformation,[status(thm)],[f2808]) ).
fof(f6283,plain,
class_Ring__and__Field_Oordered__idom(t_b),
inference(cnf_transformation,[status(thm)],[f2809]) ).
fof(f13952,plain,
class_Ring__and__Field_Oordered__semidom(t_b),
inference(resolution,[status(thm)],[f5929,f6283]) ).
fof(f13965,plain,
class_Orderings_Oorder(t_b),
inference(resolution,[status(thm)],[f13952,f6005]) ).
fof(f14673,plain,
class_OrderedGroup_Opordered__ab__group__add(t_b),
inference(resolution,[status(thm)],[f5928,f6283]) ).
fof(f26357,plain,
( c_lessequals(c_plus(c_0,v_g(v_x),t_b),v_k(v_x),t_b)
| ~ class_OrderedGroup_Opordered__ab__group__add(t_b) ),
inference(resolution,[status(thm)],[f6266,f6280]) ).
fof(f26418,plain,
c_lessequals(c_plus(c_0,v_g(v_x),t_b),v_k(v_x),t_b),
inference(forward_subsumption_resolution,[status(thm)],[f26357,f14673]) ).
fof(f27481,plain,
! [X0] :
( ~ class_Orderings_Oorder(t_b)
| c_lessequals(c_plus(c_0,v_g(v_x),t_b),X0,t_b)
| ~ c_lessequals(v_k(v_x),X0,t_b) ),
inference(resolution,[status(thm)],[f6277,f26418]) ).
fof(f27648,plain,
! [X0] :
( c_lessequals(c_plus(c_0,v_g(v_x),t_b),X0,t_b)
| ~ c_lessequals(v_k(v_x),X0,t_b) ),
inference(forward_subsumption_resolution,[status(thm)],[f27481,f13965]) ).
fof(f27788,plain,
! [X0] :
( ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
| c_lessequals(c_0,c_minus(X0,v_g(v_x),t_b),t_b)
| ~ c_lessequals(v_k(v_x),X0,t_b) ),
inference(resolution,[status(thm)],[f27648,f6267]) ).
fof(f27795,plain,
! [X0] :
( ~ c_lessequals(v_k(v_x),X0,t_b)
| c_lessequals(c_0,c_minus(X0,v_g(v_x),t_b),t_b) ),
inference(forward_subsumption_resolution,[status(thm)],[f27788,f14673]) ).
fof(f27798,plain,
~ c_lessequals(v_k(v_x),v_f(v_x),t_b),
inference(resolution,[status(thm)],[f27795,f6282]) ).
fof(f27804,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f27798,f6281]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ANA023-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n011.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 13:24:28 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.21/0.48 % Drodi V4.1.1
% 77.92/10.36 % Refutation found
% 77.92/10.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 77.92/10.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 32.69/11.71 % Elapsed time: 11.126960 seconds
% 32.69/11.71 % CPU time: 74.201823 seconds
% 32.69/11.71 % Total memory used: 809.504 MB
% 32.69/11.71 % Net memory used: 780.731 MB
%------------------------------------------------------------------------------